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Finding the Fourth Proportional to 5,103.64, 7,653.30 and 1,817.56

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Solution

The fourth proportional to 5,103.64, 7,653.30 and 1,817.56 is: 2,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.64 : 7,653.30 = 1,817.56 : x
  2. Step 2: Convert to fraction form
    5,103.64/7,653.30 = 1,817.56/x
  3. Step 3: Cross multiply
    5,103.64x = 7,653.30 × 1,817.56
  4. Step 4: Simplify right side
    5,103.64x = 13,910,331.95
  5. Step 5: Solve for x
    x = 13,910,331.95/5,103.64
  6. Step 6: Final answer
    x = 2,725.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.